scholarly journals FRACTURE MECHANICS PARAMETER COMPUTATION USING GENERALIZED FINITE ELEMENT WITH DRILLING DEGREES OF FREEDOM

2007 ◽  
Vol 63 (3) ◽  
pp. 464-474
Author(s):  
Yasuyuki KANDA ◽  
Hiroshi OKADA ◽  
Shigeo IRAHA ◽  
Jun TOMIYAMA ◽  
Genki YAGAWA
Keyword(s):  
Finite Element ◽  
Fracture Mechanics ◽  
Degrees Of Freedom ◽  
Drilling Degrees Of Freedom ◽  
Generalized Finite Element

scholarly journals Generalized finite element formulation for efficient first-order plastic hinge analysis

2019 ◽  
Vol 11 (3) ◽  
pp. 168781401983636
Author(s):  
Dae-Jin Kim ◽  
Hong-Jun Son ◽  
Yousun Yi ◽  
Sung-Gul Hong
Keyword(s):  
Finite Element ◽  
Degrees Of Freedom ◽  
Plastic Hinge ◽  
Computational Cost ◽  
Finite Element Formulation ◽  
Solution Technique ◽  
Element Formulation ◽  
Plastic Hinges ◽  
First Order ◽  
Generalized Finite Element

This article presents generalized finite element formulation for plastic hinge modeling based on lumped plasticity in the classical Euler–Bernoulli beam. In this approach, the plastic hinges are modeled using a special enrichment function, which can describe the weak discontinuity of the solution at the location of the plastic hinge. Furthermore, it is also possible to insert a plastic hinge at an arbitrary location of the element without modifying its connectivity or adding more elements. Instead, the formations of the plastic hinges are achieved by hierarchically adding more degrees of freedom to existing elements. Due to these features, the proposed methodology can efficiently perform the first-order plastic hinge analysis of large-frame structures. A generalized finite element solution technique based on the static condensation scheme is also proposed in order to reduce the computational cost of a series of linear elastic problems, which is in general the most time-consuming portion of the first-order plastic hinge analysis. The effectiveness and accuracy of the proposed method are verified by analyzing several representative numerical examples.

A highly efficient membrane finite element with drilling degrees of freedom

2010 ◽  
Vol 213 (3-4) ◽  
pp. 323-348 ◽  
Author(s):  
Stephan Kugler ◽  
Peter A. Fotiu ◽  
Justin Murin
Keyword(s):  
Finite Element ◽  
Degrees Of Freedom ◽  
Highly Efficient ◽  
Drilling Degrees Of Freedom
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